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Finding the Fourth Proportional to 342.39, 513.58 and 147.36

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Solution

The fourth proportional to 342.39, 513.58 and 147.36 is: 221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.39 : 513.58 = 147.36 : x
  2. Step 2: Convert to fraction form
    342.39/513.58 = 147.36/x
  3. Step 3: Cross multiply
    342.39x = 513.58 × 147.36
  4. Step 4: Simplify right side
    342.39x = 75,679.16
  5. Step 5: Solve for x
    x = 75,679.16/342.39
  6. Step 6: Final answer
    x = 221.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.